61001 has 2 divisors, whose sum is σ = 61002. Its totient is φ = 61000.

The previous prime is 60961. The next prime is 61007. The reversal of 61001 is 10016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 5776 = 235^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 61001 - 2⁶ = 60937 is a prime.

It is a super-2 number, since 2×61001² = 7442244002, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61001.

It is not a weakly prime, because it can be changed into another prime (61007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30500 + 30501.

It is an arithmetic number, because the mean of its divisors is an integer number (30501).

2⁶¹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

61001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61001 is an equidigital number, since it uses as much as digits as its factorization.

61001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 61001 is about 246.9838051371. The cubic root of 61001 is about 39.3651869390.

Adding to 61001 its reverse (10016), we get a palindrome (71017).

It can be divided in two parts, 6 and 1001, that multiplied together give a palindrome (6006).

The spelling of 61001 in words is "sixty-one thousand, one".